The best replacement for roasting is baking.

The best alternatives to roasting are rated as following:
★★★★★  baking
★★★★  broiling
★★  grilling
★★  frying chicken
★★  braising
★  boiling chestnuts
★  frying
★  boiling
★  toasting
★  kilning
  frying chickens
  convection baking
  baking difference
  calcination
  rotisserie
  regular roasting
  drum roasting

Your alternative for roasting is not listed? Suggest!
Speaking about roasting, one probably shouldn't forget about searing.

Other search terms related to roasting and their ratings are:
★★★★★ searing
You have in mind a companion for roasting and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of roasting in all years. Click on graph for more.
roasting
baking
broiling